If length 'L', force 'F' and 'T' are taken as fundamental quantities, what would be the dimensional equation of (i)mass (ii) density?

If force (F) , velocity (V) and time (T) are taken as fundamental units, then the dimensions of mass are

If momentum (p) , area (A) and time (t) are taken to be fundamental quantities then energy has the dimensional formula

Using mass (M), length (L), time (T) and current (A) as fundamental quantities, the dimensions of permeability are :

A tube open at both ends has fundamental frequency 'n'. If one end of the tube is dipped in water to half of its length , what would be the fundamental frequency ?

A force F is given by F = at + bt^(2) , where t is time . What are the dimensions of a and b ?

A quantity X is given by in_(0) L(DeltaV)/(Delta t) , where in_(0) is the permittivity of free space, L is a length, DeltaV is a potential difference and Delta t is a time interval. The dimensional formula for X is the same as that of -

What are the dimensions of the quantity lsqrt(l//g) l - beng the length and the acceleration due to gravity.

A sonometer wire of length 1.5m is made of steel. The tension in it produces an elastic strain of 1% . What is the fundamental frequency of steel if density and elasticity of steel are 7.7 xx 10^(3) kg//m^(3) and 2.2 xx 10^(11) N//m^(2) respectively ?